Maximal regularity for evolution equations by interpolation and extrapolation
From MaRDI portal
Publication:1076320
DOI10.1016/0022-1236(84)90034-XzbMath0593.47041OpenAlexW2012059551MaRDI QIDQ1076320
Pierre Grisvard, Giuseppe Da Prato
Publication date: 1984
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(84)90034-x
Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Abstract interpolation of topological vector spaces (46M35)
Related Items
Linear parabolic differential equations as limits of space-time jump Markov processes ⋮ Holomorphic semigroups in interpolation and extrapolation spaces ⋮ Propagation of singularities for integrodifferential equations ⋮ Semigroups and nonlinear evolution equations ⋮ Analytic semigroups generated by ultraweak operators ⋮ Extrapolation of operator-valued multiplication operators ⋮ Parabolic evolution equations in interpolation and extrapolation spaces ⋮ Optimal regularity for a class of singular abstract parabolic equations ⋮ Existence results for linear evolution equations of parabolic type ⋮ Global existence of solutions for a strongly coupled quasilinear parabolic system ⋮ Convergence of difference schemes for solving nonlinear parabolic equations ⋮ Unnamed Item ⋮ Interpolation and partial differential equations ⋮ IDENTIFICATION OF EXTRAPOLATION SPACES FOR UNBOUNDED OPERATORS ⋮ Intermediate and extrapolated spaces for bi-continuous operator semigroups ⋮ Universal extrapolation spaces for \(C_0\)-semigroups ⋮ Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time ⋮ Unnamed Item ⋮ Observation admissibility for bilinear systems controlled by non-bounded operators ⋮ Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ ``Integrated semigroups and integrated solutions to abstract Cauchy problems ⋮ Direct solution of a Riccati equation arising in stochastic control theory ⋮ Some results on linear stochastic evolution equations in hilbert spaces by the semi–groups method ⋮ A Hille-Yosida theorem for a class of weakly \({}^*\) continuous semigroups ⋮ Delay differential equations with unbounded operators acting on delay terms
Cites Work
